Fractional Creep Model of Viscoelasticity of Hami Melon

摘要：

Hami Melon is considered as viscoelastic material. The creep process of Hami Melon is simulated by combining standard linear viscoelasticity with fractional order derivative. The standard viscoelasticity creep model was generalized by applying the Riemann—Liouville fractional calculus operators. The analytical expressions of the creep function for the obtained fractional standard linear viscoelasticity model were given by using the Boltzmann superposition principle and discrete inverse Laplace transform. The analytical solutions of the fractional model were used to fit the experimental data for viscoelasticity of Hami Melon. The comparison results showed that the fractional standard linear viscoelasticity model is more efficient than the Burgers viscoelasticity model with integer order in describing the stress—strain constitutive relations for the viscoelasticity of Hami Melon. The fractional model is a simple form with a few parameters which can be adjusted in the calculation processes. We believe the proposed fractional model can provide theory basis about forecasting creep damage.

关键词： Hami Melon viscoelasticity model fractional derivative creep

作者: Zheng Xu Wen Chen

作者单位: Institute of Soft Matter Mechanics, Department of Engineering Mechanics, Hohai University, Nanjing, Institute of Soft Matter Mechanics, Department of Engineering Mechanics, Hohai University, Nanjing,

会议类型: 国际会议

会议名称: The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)

会议地点: 南京

会议语种:英文

页码: 1-4

在线出版日期: 2012-05-14（万方平台首次上网日期，不代表论文的发表时间）